MinT - Information on Result #1193040

Information on Result #1193040

Digital (13, 19, 399)-net over F₉, using net defined by OOA based on linear OOA(9¹⁹, 399, F₉, 9, 6) (dual of [(399, 9), 3572, 7]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(9¹⁹, 400, F₉, 3, 6) (dual of [(400, 3), 1181, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(9⁵, 212, F₉, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(9⁵, 212, F₉, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9⁵, 212, F₉, 3) (dual of [212, 207, 4]-code or 212-cap in PG(4,9)), using
        caps completed using a computer search [i]
  2. linear OOA(9¹⁴, 200, F₉, 3, 6) (dual of [(200, 3), 586, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 14, 200)-net over F₉, using
      - trace code for nets [i] based on digital (1, 7, 100)-net over F₈₁, using
        net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
        a function field by SÃ©mirat [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.